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Finding the Fourth Proportional to 306.18, 422.83 and 201.34

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Solution

The fourth proportional to 306.18, 422.83 and 201.34 is: 278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 422.83 = 201.34 : x
  2. Step 2: Convert to fraction form
    306.18/422.83 = 201.34/x
  3. Step 3: Cross multiply
    306.18x = 422.83 × 201.34
  4. Step 4: Simplify right side
    306.18x = 85,131.28
  5. Step 5: Solve for x
    x = 85,131.28/306.18
  6. Step 6: Final answer
    x = 278.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.